Bayesian Statistics in Data Separation of Indicators for Neutralization Titration
Takashiro Akitsu* and Atsuo Yamazaki
Department of Chemistry, Tokyo University of Science, Japan
*Corresponding author: Takashiro Akitsu, Department of Chemistry, Tokyo University of Science, Japan, Tel: +81-3-5228-8271; Fax: +81 352614631; E-mail: akitsu@rs.kagu.tus.ac.jp
Received Date: 16 May, 2017; Accepted Date: 17 May, 2017; Published Date: 17 May, 2017
Citation: Takashiro Akitsu, Atsuo Yamazaki (2017) Bayesian statistics in data separation of indicators for neutralization titration. IJCST 2017: 104. DOI: 10.29011/IJCST-104.000004
We have systematically investigated thermally-accessible structural changes of (chiral) Cu (II) complexes by means of XRD or spectroscopic methods. We also observed solid-state CD spectra and Non-Linear Optics (NLO) for some bimetallic assemblies involving chiral copper (II) complexes exhibiting thermally-accessible structural changes associated with Jahn-Teller distortion [1]. In addition, we have developed “separated” structural analysis of each component from powder XRD (PXRD) patterns for composite materials of metal oxides (LiMnO2 or TiO2) and (chiral) metal complexes of various ratios, which indicated IR spectral shifts by the ratios [2]. Recently, we could observe NLO of composite materials of LiMnO2 and chiral Cu (II) complexes showing no NLO as sole components due to slight structural changes as composites confirmed by separated PXRD analysis for the first time [3]. This optical property may potentially apply for metal complex dyes and semiconductor metal oxides of dye-sensitized solar cells. Even in Chromatography and Separation Techniques, separated detection and treatment of data may be important factor among experimental works. We have also discussed statistical treatment of data using basic student’s chemical experiments as well as our own study on separated observation of multi-components hybrid materials by means of polarized spectroscopy. Herein, we show our (Atsuo Yamazaki, Yosuke Mori, Maiko Ito, TakashiroAkitsu) approach of Bayesian statistics and its application to neutralization titration (oxalic acid by Naoh), a typical experiments of analytical chemistry.
p(T,E)=p(T)p(E│T)=p(E)p(T|E)
p(T|E)∝p(T)p(E│T)
T (theory) and E (experimental), and when the two events that combined probability p (T, E) is posterior probability p the other one events around the probability p(T) [or p(E)] and (E | T) [or p (T | E)] of the expressed product. Given a theory T is T, if the posterior probability p (T | E) probability after test results found the T prior probability p (T) in the odds before you can see test results and test results posterior probability p (E | T) of can be interpreted as proportional to the area. As an expression of the best estimate of the average, median, and often are fit often within the range of standard deviation from the average. Therefore, these three values are being best estimates. Depending on the indicators (PP and MO), color pH optimum to be confirmed statistically.
Oxalic acid 2-hydrate crystals (molecular: 126.07) of 1.6 g were measured. And the concentration was diluted in 0.05 mol/L.0.1 mol/L Naoh atitration of oxalic acid (10.00 cm3) was carried out three times by using indicators phenolphthalein (PP; pH 8.3[colorless]-10.0[red]) (Table 1) or methyl orange (MO; pH 3.1[red]-4.4[yellow]) (Table2).In contrast to constant results of PP indicator, test of the year at the neutralization titration data of the Naoh solution (MO indicator) data showed considerable variation, for example as shown in (Figure 1).
Figure1. Naoh Titration of Oxalic Acid (indicator MO)
in 2010
year |
2010 |
2009 |
2008 |
2007 |
no. of data |
32 |
32 |
36 |
31 |
average |
0.097986 |
0.095661 |
0.090581 |
0.105785 |
std |
0.004488 |
0.003082 |
0.011625 |
0.011775 |
median |
0.097623 |
0.096323 |
0.097483 |
0.098318 |
frequency |
0.1 |
0.1 |
0.1 |
0.1 |
Table1. Naoh Titration of Oxalic Acid (indicator PP).
year |
2010 |
2009 |
2008 |
2007 |
no. of data |
30 |
23 |
29 |
26 |
average |
0.121013 |
0.132278 |
0.150757 |
0.127802 |
std |
0.02319 |
0.040205 |
0.041579 |
0.020248 |
median |
0.117305 |
0.104174 |
0.168673 |
0.127575 |
frequency |
0.12 |
0.11 |
0.13 |
0.19 |
Table2. Naoh Titration of Oxalic Acid (indicator MO).
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- Orii Y, Atsumi K, Matsuno M, Machida Y, Akitsu T (2015)Advances in Chemistry Research. Nova Science Publishers Inc 26: 89.
- Atsumi K, Akitsu T, Silva PSP, Rodrigues VHN (2016)Advances in Chemistry Research, Nova Science Publishers, Inc 30: 123.